One mole of a monoatomic real gas satisfies the equation $\mathrm{p}\left(\mathrm{V}-\mathrm{b}\right)=\mathrm{RT}$ where b is a constant. The relationship of interatomic potential $\mathrm{V}\left(\mathrm{r}\right)$ and interatomic distance r for the gas is given by

For a van der Waals' gas, the term $\left(\frac{\mathrm{ab}}{{\mathrm{V}}^2}\right)$ represents some

The unit of the van der Waals gas equation parameter $\text{'}\mathrm{a}\text{'}$ in $\left(\mathrm{P}+\frac{{\mathrm{an}}^2}{{\mathrm{V}}^2}\right)(\mathrm{V}-\mathrm{nb})=\mathrm{nRT}$ is:

For $1 \mathrm{mol}$ of gas, the plot of $\mathrm{pV}$ vs $\mathrm{p}$ is shown below. p is the pressure and $\mathrm{V}$ is the volume of the gas.

What is the value of compressibility factor at point $A$?

In thermodynamics, the $\mathrm{P}-\mathrm{V}$ work done is given by $\mathrm{w}=-\int {\mathrm{dVP}}_{\mathrm{ext}}$. For a system undergoing a particular process, the work done is,

$\mathrm{w}=-\int \mathrm{dV}\left(\frac{\mathrm{RT}}{\mathrm{V}-\mathrm{b}}-\frac{\mathrm{a}}{{\mathrm{V}}^2}\right)$. This equation is applicable to a